Find the Volume of the Solid Generated by Revolving the Shaded

question 14

Multiple Choice

Find the volume of the solid generated by revolving the shaded region about the given axis.
-About the $x$ -axis

$y = 16 - x ^ { 2 }$

• A) \(\frac { 13312 } { 15 } \pi\)
• B) \(\frac { 13312 } { 5 } \pi\)
• C) \(\frac { 128 } { 3 } \pi\)
• D) \(\frac { 8192 } { 15 } \pi\)

---

Definitions:

Femur

The longest and strongest bone in the human body, located in the thigh.

Fibula

A long, thin bone located on the lateral side of the tibia in the lower leg.

Ankle Bones

The bones that form the joint connecting the foot to the leg, including the tibia, fibula, and talus.

Nasal Cavity

The large air-filled space above and behind the nose in the middle of the face, involved in breathing and smelling.